Atkin-Lehner |
2- 3- 5+ 13+ 29- |
Signs for the Atkin-Lehner involutions |
Class |
45240p |
Isogeny class |
Conductor |
45240 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
522240 |
Modular degree for the optimal curve |
Δ |
-2270994327264000 = -1 · 28 · 3 · 53 · 138 · 29 |
Discriminant |
Eigenvalues |
2- 3- 5+ -2 3 13+ -4 6 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,1,0,-733281,241453875] |
[a1,a2,a3,a4,a6] |
j |
-170331760649820857344/8871071590875 |
j-invariant |
L |
1.7418338254327 |
L(r)(E,1)/r! |
Ω |
0.43545845639294 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
90480a1 |
Quadratic twists by: -4 |